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Question:

Which of the following is the solution to the triangle given?

A b = 40.2, c = 35.3, $7272_w62_h13.png$
Explaination

Recall that the sum of the interior angles of any triangle equals $7758_w32_h14.png$. Because 2 angles are given, the third can be found as follows:
$8281_w182_h14.png$
To solve for the side lengths, use the law of sines: $9761_w189_h39.png$.
Solving for b:
$3746_w167_h39.png$
which gives
b = 40.2
Performing the same operation to solve for side length c:
$8619_w153_h38.png$
which gives
c = 35.3